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57709148608 = 267985313381
BaseRepresentation
bin110101101111101110…
…111011100111000000
312111221211221111102101
4311233232323213000
51421142020223413
642302231200144
74112041445446
oct655756734700
9174854844371
1057709148608
1122524345551
12b226816054
135598c69217
142b16526b96
15177b58bedd
hexd6fbbb9c0

57709148608 has 56 divisors (see below), whose sum is σ = 116110796480. Its totient is φ = 28453800960.

The previous prime is 57709148597. The next prime is 57709148639. The reversal of 57709148608 is 80684190775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4306078 + ... + 4319458.

It is an arithmetic number, because the mean of its divisors is an integer number (2073407080).

Almost surely, 257709148608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57709148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58055398240).

57709148608 is an abundant number, since it is smaller than the sum of its proper divisors (58401647872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57709148608 is a wasteful number, since it uses less digits than its factorization.

57709148608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14325 (or 14315 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 57709148608 in words is "fifty-seven billion, seven hundred nine million, one hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 853 1264 1706 2528 3412 5056 6824 13381 13648 26762 27296 53524 54592 67387 107048 134774 214096 269548 428192 539096 856384 1057099 1078192 2114198 2156384 4228396 4312768 8456792 11413993 16913584 22827986 33827168 45655972 67654336 91311944 182623888 365247776 730495552 901705447 1803410894 3606821788 7213643576 14427287152 28854574304 57709148608